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Simplify.
Rewrite the expression in the form
6^(n).

(6^(-6))/(6^(-5))=◻^(-x)

Simplify. $\newline$ Rewrite the expression in the form $6^{n}$ . $\newline$ $\frac{6^{-6}}{6^{-5}}=$

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Multiplication with rational exponents

Full solution

Q. Simplify.

\newline

Rewrite the expression in the form

6^{n}

.

\newline

\frac{6^{-6}}{6^{-5}}=

Use Exponent Property: We have the expression $(6^{-6})/(6^{-5})$ . To simplify this, we will use the property of exponents that states when dividing like bases, we subtract the exponents. $\newline$ So, $(6^{-6})/(6^{-5}) = 6^{-6 - (-5)}$ .
Perform Exponent Subtraction: Now, we perform the subtraction of the exponents: $-6 - (-5) = -6 + 5 = -1$ . So, the expression becomes $6^{-1}$ .
Rewrite in Desired Form: The expression $6^{-1}$ is already in the form of $6^{n}$ , where $n$ is $-1$ . Therefore, we have rewritten the expression in the desired form.

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